TY - JOUR
T1 - Multi-Symplectic Fourier Pseudospectral Method for a Higher Order Wave Equation of KdV Type
AU - Wang , Junjie
JO - Journal of Computational Mathematics
VL - 4
SP - 379
EP - 395
PY - 2015
DA - 2015/08
SN - 33
DO - http://doi.org/10.4208/jcm.1502-m4400
UR - https://global-sci.org/intro/article_detail/jcm/9849.html
KW - The higher order wave equation of KdV type, Multi-symplectic theory, Fourier
pseudospectral method, Local conservation laws.
AB - <p style="text-align: justify;">The higher order wave equation of KdV type, which describes many important physical
phenomena, has been investigated widely in last several decades. In this work, multi-symplectic formulations for the higher order wave equation of KdV type are presented,
and the local conservation laws are shown to correspond to certain well-known Hamiltonian
functionals. The multi-symplectic discretization of each formulation is calculated by the
multi-symplectic Fourier pseudospectral scheme. Numerical experiments are carried out,
which verify the efficiency of the Fourier pseudospectral method.</p>